ENGLISH

Introduction to Axiomatic Set Theory

By Gaisi Takeuti , Wilson M. Zaring (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1982
ISBN
978-1-4613-8170-9, 978-1-4613-8168-6
DOI
10.1007/978-1-4613-8168-6
Language
english
Format
PDF
Filesize
4 MB (4581891 bytes)
Series
Graduate Texts in Mathematics 1
Edition
2
Pages
246\250
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Mathematical Logic and Foundations

Description

In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con­ sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high­ lighted, and second, the student who wishes to master the subject is com­ pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.

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